论文标题
哪种核形状在相对论电子上产生最强的吸引力？相对论量子力学中的一个开放问题
Which nuclear shape generates the strongest attraction on a relativistic electron? An open problem in relativistic quantum mechanics
论文作者
论文摘要
在本文中，我们制定了有关具有外静电电势的狄拉克操作员最低特征值的猜想。后者描述了一个相对论的量子电子在某些（角度或延伸）核的场中移动。我们问的主要问题是，当核电集集中在一个点时，特征值是否最小。在非同性量子力学中，这种众所周知的特性在相对论的情况下逃脱了所有证明的尝试。
In this article we formulate several conjectures concerning the lowest eigenvalue of a Dirac operator with an external electrostatic potential. The latter describes a relativistic quantum electron moving in the field of some (pointwise or extended) nuclei. The main question we ask is whether the eigenvalue is minimal when the nuclear charge is concentrated at one single point. This well-known property in nonrelativistic quantum mechanics has escaped all attempts of proof in the relativistic case.
